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PA1_template.html
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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta charset="utf-8">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta http-equiv="Content-Style-Type" content="text/css" />
<meta name="generator" content="pandoc" />
<title></title>
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xaXpygKB5dWVlFrb5mQOydwB7i0J6ubFjh7npdh1XXdKUdEAmoj3W5Db4m4QE1LVCapO1XgH2D%2FkB08JF83SNM9ZhZf5I9%2B7Rz8J%2FI3IIfrMb5LHcjByu%2BUvGUKxQ%2FkcaLYdZ40f8JWOkw%2BA4iEBtlYSmddP1HFw%2FdKtShd1YQrncW61ZeqsIAcmYleEIEKAhx1ry8ND6aFh%2F8V9VHtiPdBPGObFcRVTzQgcz40RO7WEpW0ba3k2z3i6zBvlL9xO4ka%2F1EVnLTSa%2Buo%2BmkNzrwWDyPcz4lWOAxAp2%2BTrKORXoPGvm6d5aKpzt50u4573rAOfhP1CUXfpbjl36l4XWpysmXBCr6PbGqqsTnSRvReJFj4Xl9rvYfHFko%2FqPrb9YYEpV1CsKxTiSrXhisap%2F%2BC%2B6uu%2F8CZVz1iWlY7fGdnKxd2eM7WS2lcof2ANfjrBHRsoomvoE%2BuiF%2FpXpsCFnJYVZIVk7UsM85PYeLXYofPYf9H42YsMdtUq%2FMTd79Ho4bf2S7Gq9PVRxDC6lKG1VpVBV9cvFXGr6oVycSFZ%2FauXWquCnKooTpFvcfy0YiWVX%2BI%2FD8UOPXvp%2BE5%2Bom3JHt0IXP6MxS5U%2FAqovYd3l62%2BltAxkkq6q7T7LR3xT%2Bcz8gICtekEZU28Hq3d9JkEXhcfclufMmmZusgqh%2B5ww%2B7k3Vwcd9XbHh1JbiELt3Fu67QYbvmRs%2FCg5by%2Fr3TnRlZXhu7ijl5o6qlZ%2BrQrpkGp3PTVTZFKpwyqWabnH%2Fce5T6T%2Ba%2BNhiV5b7vOiQWG1XNvGNzngqewJWX%2BO7%2BPupIVbDas6n8HPju1ZMXmrvkcJ%2FhQ1Ya89RaqlV9P%2Bu0DacBdfrcx5rlPXMqW5%2B%2FVv8cfLHuP4t%2F6ZgDdhPFR8DGRmRoMk6R6Yc9MgU65TdN%2BKH32y1gyJruJn9x3%2BQ4%2B1zUvkZZYoyqq52HfJR1T3OUca8Ss9VrVhgoR1nngEaUXl%2BEwnEj%2B5Lg7fIsNx%2FsEWwXdT%2BI%2FD8UOO75zqXdKad2WS2XFS9L3XHH%2FH3m9r4nePnO%2F7Ys%2Fk6qErLYy0lJ6agZeeN%2FwwccYGT1QoEPwJqvCIveWiGhaw0jqw4olppFhqa8b%2FC%2BdTSMfJ8SlX%2Fp%2B918A8%2Bor5fxP%2FNTuvM3TtoeHe%2FThlVC9NKslFVNwNc6blq86mEHcyuYlSiOqOvmLPKAkLhPzbxCP6j62%2B9f0qwwjHOiiWI80kKVVktH0mD79lpNHuEPZ9yx6Q3iKpAKUiIS%2BdKK4ZmEpg0z1gZ%2FjhD12TDPydq2A6DMfTF%2FCCSlRZO0fLXPJsLM9o5%2FJ%2BS1UU8jHffrIaAVo2H93qXRX3g%2FV5fZeaqtAxwpeeqH3Trtr4z%2Boo5qyzjqus%2FuvixZ5JszVn3T9bAuDz2jM54qngC1XyGupJhFtiO%2BapVZZeFqvBG9bLT64cJ8zEW2juBk3sMRUbTMA9ggQX%2FxuNExVKRpvwrklXWFA5ZaUTl2d%2FRNOseP4pZYB18QoGHvnMyyNx5aXCbSf9x47s%2BV9Vv%2FQ2nBFacueFU%2BfxH298aemcj%2BAollosRz0QwI9ygM56qmBNbdKZpA5nYorobKAtV1yzEXc4xMjWQ2Xzu%2BE7FzK0BZnfYN3ezIOaa7cYL%2BL91Kw6%2BwooX2cJdqES1Yl3fwkumIJzZeGJX6gvVmzcdfOOV0JL6h1jjlZuVAa78e1Xd1scYiWP5mRhHlc9%2F9PFYhwhrwqz%2BfBOLKP8AaClJVcxhKRb%2FbHAgM5D5bBD67tR1UFX8XUSS8JcpqS8QN340V4kWuHQHNRnlvBhKfbH7Vr8H6fkKWPUwq6eGeuYgy1ZNqcPGOz6%2BR9SZ1V7of6CvfPi4Z0Y6zuSjamFa6bv2XhUpNzRDI2ruGXdyLNC1U%2FVs9fxHH4912DsxkOnMds9tPgd%2FPNEpvw99qvKrPL3r8FZaC3Vl26BE558ratV5h5brrxqrSjZWe2oL%2FbGSS62BPrSGWgP31eFR1ZYP7%2F23Jv5tWjqelgG%2BMe9VoU1C5X6i5fIfCh7GYRjtwIM65C%2FhnJc6S%2F9XnldPHdKgJoWtn6q6WQa0qq4yZuwG%2BY%2FxN2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYseVnpcgqGjNm7EYTNd1MEGK0kaUITo7BMiNUZj1D6RBgIRmWfxAO%2FFpHr1Vl6qOHh2WCxTJWwxWpzzycMW1rU6TJ5QMexTRpz5cqLpp7Tvw4WJlhBGp%2BBo7p79qA4m5Bmngs%2F5fXJWZFOsN86VmYRFb3agsKnuuswqLabGc2wig6q2t%2BjKX3TfZN4tc1P6Y0CV1XT7c%2Buvjor4tXpcgXo5daH5QVaUf8fJhRy0f8ShZltOdLW1lj1bW5cG1qRVxmL77HjjgmvE9R%2FzPNIBmL4pz2%2FS4zGXS56nQyJ70tVuA43%2FnhhXCDWLVTsHLHWSNKIav78VHwuOp%2FIIMipCx1YtdARq2zGvoUS986vnXcXu35aXmpqlsfXTwuQ3eviwCdg68rVx9cjSm%2F72K8qp0Ka69yLaEXBOWD7i5NogZ0pBfagNRNqJFxxsqEFfWPwLL%2B09uwHqe3jaYjJJ1eWCSe0SKcjaeJvbvxVmCVVIo0mRsZbeHSfvd3JVC1cDG3mnyFKyZVeNRZBYmKOKvFKsJysjg6o%2BzmrAAX9OBrN1HQg9KAVKq66wPik8r6uPCT1iQBH4jbAtCO9c7Gmb8KgVM%2BfqdTH%2Fyu9bWEasxz4a06Nd5xLnewJl9aLgT0WD2Vqon8Ot6IYncG62CUwRrSIF%2FgCGtkgnsnosow2zrYZMcO3HPU%2FiPwqxhxq40cvmkhMjI00%2FaV%2FG5xiVySOYQtkapLVRdU5HNTVb3sG3VWD28VlUA7vFWus3rbPl76oT28l06y2%2FaVj6ru%2BnC8vD4Cb%2FWFUMG%2FT4XH2hcKkKBASfsT6vpA4Buj1ydHk5BqNakbb68qVa4%2BFe7kXqsqkWWbd4sS5D7Nq8qnh9fhq6ASUbCGlDUMzYSvyueGPCTnI541tkrS2bvxqGrS9jZl7inw218N%2Fe75%2B2RdsdMygrCWQjrAh6pe8igqsjo4SsrB0VkV1VPprIau8tLvS92Xk%2BgMXVU0X8ZyaqQIe9z14TWS14fjYceRL%2B1585dWnQL%2FP5PsR790%2F%2BRHvwQRrA%2FU9YliQHhQVZ%2FkNwJPM6d8qumNqgkP%2F0mw8lE1zh7dUfyzR3fECSoZKDuzd6IZZrcwKtdQ8FVVjzwQWaTGlIj%2F8bZ2hrK8%2FmKhznTC9jV7MiHrLH2pir3s0qaWj5Q6KQe3zmoyT2uZzqoVE5InEAzWijBJLnFcKMQlb2pRH8sWpuLEltWH42E86rbr1I2LlGV43EFndIv7J6NbZDvXuNsHHvmrqvpgcshjZLvsG56mlmoIoIpQuUZV3SSUF1VlSr1JNtlU%2FLPJJlp9qqruehS%2F3vUolXr3DHZmdah6zyC%2Fm3sGfdu%2F353R5d2ebHiTzlX1GloX7%2Bisiscu11nlsp9izM7nFX8lu4aOEJeoD253wLdAkNfHqb%2B4Uzne1nzFunMl2j7LFl%2F1byOn%2FJ452FykRVV%2B%2FwUv3dqB93QSKHKdW71RtRSqWnUDmQP7T287sJ%2FL6B3bIU1yVbtd284wVNPqYwVwRMWR1T8ALqz12mMbzupQde2xzeesGEaAsoCZ%2B7I7D5y8HqqKTF%2B5qaqrs4r5U97TYn24Ui%2BMSl%2FL5w4rGd%2FUaKUyJBf1YbWjaZALrVXVx6m%2FuFM5Pr%2BN0IR9NxOqNnLKB6m1enX53u354H7lm700rf1vxKgKMUqcrYAU0Qq1jF6xzJjjwH6jGB6jaR4AQ964gTXA%2FzUUPFDv2r6dcu8vxEe%2BHv9Z62vgq7WUlzWibUsKgIsTMuWnqp7OqjUswt%2FeP%2FExJx8CD9Nqw5NRlPrAcBdU67668PbGCiq8837RST9I1ded8qspOrT6urVcqfn5%2B%2Bj4So%2BqOjPn0bQXVUcVbylY8MQuzMOLvLHqKgJ%2Faotc974YP33f44mOxUd%2BQXtZI8ZXERIvM6rq6ay2vyHKvOOP%2BD3f70P2ZwTFdQkq1P71dV%2F18N6uK6tRZeuDNcJ3rzr4ys9V6Ybqy0upij9VnFeLGzFqXMfGUzUvHTyrAXo3UF7W8PeqPBMsU6QUvxVqiFVVOPzcEKrq6Kx2LIoyh1%2FG74dfFt%2F7adrru4qu7qseXp%2BqpdYHE1IDGTUeXnak9k5sPkfXuV36Z4X%2B9Xf2vHMO%2BW4LelR1Tz2KPy8Pk9Pb%2FXrGsmM%2B2v4Gzp8YYrYjN9a7Y2eS5mu%2F%2Ft6bVJ1VlwJqkPepKi1UPRVd3fro43V1fa%2BjPt2o2k7QrQ3Z%2BA4dnVsNXeKUBzolL1%2BbDK7rU%2Fd6XTZELtRtroeDrMTsRDdVxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjBeb6o%2By0Pt5KEzRo61BQha4rq6dBmzsnnUdfrlhLodptTKuFmDVJLn0sd0ZGdafebSRTli2lRY0tO8OVCkMzSS0VYAfPQuvfUp3VeDG%2BiNKTVLFK3ZU7aM6KnDijC0TqWfiqSo2CGxdvO7TnwP7e2RBZwpo1jB9Nss3n5Eu3rMmwTX%2BdtTuaqr4lULqUjgBkOUvuaJT4gG7ntEQYW3qvxWdWaOgsrn8SpSdDAxm6CnAhXk3WKLNXSzKqWKU%2BVVGCxCXi9rBegxCbcDgJy73WXiOQzpbYhBUUKy5Al9TxZ%2BpD6nolyZQaBC1QcgsKloK4S79Y%2F4gKvIWCpm7TwRa3Pr271z2L1ZTe0ajwxWVTFnZSl9cVo5JMl3qq8r3WNSU5VVFTIKKhAlyMV5HVq9nKS9X2J9xomXApF8O0Ckq3lHKYaKHfDZ7unU0wykYMos4oZh1fpFI18QcvyS8vpwJH7%2BQrGPOqi%2FX%2Bo7EOtngJHDEi6L%2F%2Bs6hlU%2FD6CzWFkAqt1jpU9fZmf77wPSuKNxTJURXJp6cCXIyXk7WyVEWioaCnc%2FzgvKzvcsbf3lmuczj6G5UcJoZr7ez5%2B7b%2FraojcFPVijWdBE3gs1SqYquqRNyKW05noTVR0lxzxxrtADVQQkBb8QA4yaiRVjGqFKqipK%2BsJvamNFdzeR5bmse%2BCp930lWAvfEyslaWqrbu7DcFwcI3lIBq78TU0NTQ3olkXn5ZZrftQ6mrX4LAaDthLszH6iaGTa4KaZ0gHqcWFMJVlqq6Gha6AapXcHpzA2A%2B9y%2FWIqTUJ0%2FySZ324drbsueLHBt5BYmKm4AEFqw6G89CemT1w%2FuTtfJUjRf0n3HCo%2B%2BdPdC5iq1iBzqFgrAi%2FL26%2BW2rL74B0S0vUNwd91fBRFHzx7TNkOL%2FNcnu%2Fh83n6q6Ghb6qhf6AW3lAmD0F0j9pR0lQZ3a81a10iHJSLzUm9e%2FpRIXtfdACCJRo7YAeuPFHN6LfOvfklTWB7%2F%2BLe%2BzKk9V%2FV66%2B9KmNvy6qa37EiHI7otDd4QCa9F8aKImBUhkNY5MRVngeRKRjifZxqM3n6olvSrTPEMnQK1sAIyEG5liIXcATLtXVxooBCX40ttDEN%2FmjzQUr4MXg4Hm%2B6O5M1y7%2BhSTD4SzpPvQeOGt9Pq3vM8qjaq9s6e3UUa80qgahTzx6W2nt4UfjhK6g9DfgxxnP9%2BJzB7D%2B6ikuB8SXrEPKUSKfYZ731WOqtaYHXyNUQitm8%2FVPUMnQK18AIwZdXcATLvXglGwRa89kT%2F%2BeCvWeKUNIr7b%2Fpdn%2Fd3kUxHVC%2B9P1NKoauvk14gNLtTBZnFqW%2F3om1ngo8BHzaT9Q8Ps4eeEk20%2BB3vo%2FD0prRSwxlqvJdmdv6dQCbuMB%2FoqR9Xm3F3rB8CVyAAvlwC4OANMFwHUzQB3gbokPzh%2F%2FPFNuSlcxK%2BrEeSjELUYLyOqN1WHZmQ3Jza0EBtcEGgx7wp2AkmSGGaURUlymJjHPZB%2FvTH4d%2FbcXPJXS9YenlZaBcRIEBNL%2FJxn%2FlqJg82hnSQGbaTkeLeLydIgJQWcyw1%2F3Rlgan3UVHVUHIGB9lFKWq%2FoKkg%2BKlHdeGtMRlS%2FEMAf7955hpNV1RTFfwKhLYYpkcO0DmK%2BrmlBqNnzfHFgwb9GrQUbJ8GfH9QrCZjh5zReUbZ5C7R4i85IKZIe7iPEdF6tlT9AXV4ZYEHVUupTiqpxGahqZ55COsVyPGjMhsoZUhVuEYUC1cp61BaU31DOpsspEafyWxUrlW4L6tJN2VgB%2Fkghh6a0uX8w5o3nSQ%2F3gYmUcgacyw2v73NLz6HVpxRV41Iy8MtUCVj9ZwDGtNqzRf0TY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8aMGTNmzJgxY8ZujsFqucCyqMe0eRbGjEmI2nhR%2FHG6FDdmTYPuyzRFFsxGn7Euw%2FqXMzQ8LucGaZThkjub4WXQkmmasrIxYyU5%2Bbrm7ksJ6coR7obNoDIUgX%2FNSo1DlOxuxtV32QT8D%2FgMRcKk%2BWOQRvmKgrSGoRNgjuA1djarJcu%2FXfgzuKpUq%2Fx57MRgjX6dmqhhorKyW1sW20ofqz5LDw%2F327dsPDLvLTS%2FWYrnS%2BJoZ1GwrvZM08R4nFand95Qtux%2B0ckDH00N9c6mvpCPkbgwbCAzmsaF1mHFiklUiBnIgGh3SqwTbbyorOjBqK2ZFHhJTaTVuaW4fJ2rVTd4y4ZTvbN%2BMp0C35UdP4prB1cxaw%2Bl%2FL0TQzNd2eM7Wa2VblPeAZe60pFBF%2B0fZbpYyll6%2BDgsJ4J4iTwNEms3SxV4kZ2D3sJd1vkks6V4viSOdhYF67RnmFQjd%2FuTO2%2FwH8n98sJACwjIeqFfVtDa923hbnyiHUjWte%2FLaB3l2FpnLV5UQW6rry2HDCmD4JavQB40nVsq1Dl4S%2BPFxovn1sGysmoFPsUaISwHAaxWdMs6Zfmw1A%2BXwnESbjglb2gUssrpU4QoMuhcUYfLXulhaWfp4fEa7bhGl7gzgLN2s1RVRBlWuGySUcjqhaesV6Vj3e0ZJZJV4OWqZY5xqTSf0p3Cui%2FtvlW%2BEA2lJIZf5p9RFSHC5LQ%2BvLX4EcnVdNd86SDXLMibAkc8FnTfQ%2FelwVvUeFRYbWZ87AO3PKnET9qhr01U2QJ8KHc6zNzjX1jaFQik0%2F5qN3ewtLN08bzlEyC7CkFY382mqnDZJIkaXnhaq1Kx7vakkdXB62qseJTuFObWYPAzFD0R4l6xD%2FEcf2xssSvLl2W7H1HiG9k4HGc4VguHkSv%2BOU3L7wHrL6OqwAeejwCWb%2BgxNHNunWIUmwyhHut0WNncjRfbc4r9yfzXdkXAbCtAXIySZbgcLOUst2PRruI8pyiGwmn1SFZZqnKXpVHDC08VN6Nh3e1JqZE%2BUSVk1SNqVdWGs3w7DEiv2FtiyMLB7rnOrMcjysrG4aEZHKvzAixX6XM3TlQZMQR%2B3dTpbRAmx7uyeycgXK2W45%2B%2BtwuSYu1CS0oSvm845SW3IQ%2BYhYAklapRl5uoz2o6qYcvplJYKSRTeaoW3rN%2FDOSNp%2BsQUrCFRFVnX0T7g%2Bi7psZKz1zR%2FeoStapq306uqNaWU1U7frc%2FtvdPibxomHNz%2FRdk4fXGo32TDjbOKFQNPBbN1V%2BeNMnv3BJiNfj11BbWIKNeTguq9vhOjCU4UWVqRrw3dG%2FnpO5NedvTqepgKWedW6eHL6bS0MzH99x8qrrvwT8G8sbTqUrB5uV13Eenuv3jTO%2FlnZWOF94vfz2jQ1TcoGhkymlmSLrU%2BGPHnoH55tniRzT2jCy87vjz4fWOsmCSRNWew3sneP2jykdfcC81%2BOKJQG0gK9ckalbUSKi8ijPVYQ8ihZAqxakcLOUsoftIv0rSta8PyLiFVF5ReaqibyZJw4kXnkpVGlZ3Vx%2Bn%2FcNM52VNuPh%2BA4%2Fx1zN0oqK9kxCPHLK7QanjNvTO2sFyzN13yaTKNpyNstW%2F7b8g0PKdXDBIwEwlTKoaWDXqkmOoocbnk0CgSEjDgwRai7p8Tlbcyys3V02rwx57%2FK2mqB4XY2ln6eKF4Cq8zuqkyLhVmqrcN2nDiReeGqvQsXqKiPpk9SAqzAw%2FFa9ndOTHWPWR7Tju9cydT6mwWM0I7rA67%2FRdMvzJjV3ZcF6wuCsr8sc%2BwfgTuEGU6NtW2ptF7Xvi5uELkwK0REIuyCaoHi%2FF0s7Sw%2BM1Np%2BDqUHjcnhZI9yVFvd54Sn0o2NLURR0yKrzsqbgfq0AzvC2%2F63q9YzHxSEg7Jk7tkN9HsqD7p0YyHRme%2BY2n4MkTqf8HFZzagv%2BuQF3dXCYWil6xYH9fPotlHcP7Gcrbh7eTVZqxi8fZCtVj72wlLMEyn7Nr8Tb6sUdsmmNl%2FM6X2l4mqMLd7XqaHGfg3I%2Bqemngy3NeKvrvKwput%2Fdt9p50MZSBD0hIOyW08gdBsOsOgX4DopKL2zMFMpJa4fUDsNWQLlu5d0VNxfvNDc14%2Bc4q1r12AtL0UrmKP6cVXiaevGNMXedKV7qoFyf1KOeBvZ6yKrzsqaoY4IGqKkyZszYjeh2qiuHNmbMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmLEym65O7%2FcNb59Dlp1cnvWvuA8FoEYxnda02A2oVVr3SlbMmlyuNM3p9MYZTaf3%2B4YXZ3EZMXp7JrOdWZ36VAp%2FoyzwEUhYfkStC3XBXMGdZ%2FT3fXj%2BPr0rWbHAAuhkTt7Mrobvb5ETbA24WrRYK0al01sani9qw%2F8rU34yL2pW7vK5OPNKG7tyXq3b7%2Bges9SJXQMZSn1Kxe%2BdoOkq2488o%2B0yGtSwJqNK3aPrpWoUBU%2B19k1A4tGvBCMw4BPgpU%2FfW4n6U4nK97ewh4ZY00JeBg11evllhR6QXKfXwbudXYXvnf1kE67f%2FGQTLrClly%2BEoNR4WEUKomYndtHrT7tftKaTHYtIiiR76CUQO5VrGOd0jzfegd9tvIPFkXzy%2BgidZHthoQbeirVeo9QfhcebFqLajkWnhjUcyoum0UJyXVe3%2Bqw9qF%2B5mtHDU0G8E7uGZij4MAggIB6F2W8eVdc1xxdxfwssH%2BsfX1zXbP8CdXqdy6p1eh28%2B5Dju7K49g7Xb%2BKaPRxZaeX3zn58D6eICg8SMCusPVaM1fK19pTyhQCoSpfYqguz3S%2ByBpvejQ%2B91HpN1tBc9xh6QxTlTMP%2FscNbVfUROhd8awUqXjgitpBcV9maXA0uqO9YVGpYgTULzlNrvUYZi3VcHZQx54MgrZ6XcSeO9m2%2FEsSjL%2FEHUb%2BdlFXYlaMqq0HJvUROWteuP1%2BoGlsUI4wNy400%2Fjq9Dl4canzCFRY1nUwQykf5rYEMEnx8AKmtwsO4wkJXezZbdVFGqb%2B4A7UuMYq0JHFGyA7tObTHAodJSGcpXPeY1Q7N4J41sOofPkPDfyPHw3X2WAHcWqHpJBGfIyo8yAYZHgPfkKtzUsl2uTFUagQ%2BSri6bRgRPiqnq%2BPGI4miKK7pCsnpW0amaMRz16n1NfUc1SpqUcq8liaahugm1%2F0mUOqI47vniptMrtNbGt5RlOGqMSr81BCrhyCvmjukGp%2B0FY9YfdNJlc6wwFsFUYQ%2F3nEQqFG9Wg1I6B7z%2B%2BT33ZmV1Qfx1p5WtopFc0KSBLxD1Fo5vulKVEu2ywurogaX23R1gZ2KGXChq8u3uuoLL6lP7%2ByxHbQsLmuhEFVkiXODT0hNZx0RND0tKe8r2L%2Fo%2FZNoMsF%2FuU6vg3f3L3J8V9ZRbj23DkdJVfkBO5OYJ6oSjweEaiys1Bl28O5m8cez%2Fs8G7Zlwv2WPrKj6JBP14LrHVgxHVBxZ8XNCWh%2FET4cxcOdqOgT8mJuocvyxHY4ibqlUVVNDZ5ycGnILx3Zlp4akQezbmLEYmcKYRugSQyvVliOLW0qWuPJUZf0ndjkt1DMHCUTubajTu9R1%2FXV6Hbz7kOMTtpg%2Fzt0wu5UglG%2FL%2F%2FcJotLq4w5o1XgR8Kt1iVn10AwmkxC37qcdi7tflDU01z1mtdDAMDeH%2F2vXnFXVB%2FAwh7ddEEQ61PjmguSHHM9qsWR30C8XHiue2lCooUdVVvPkU47nPPmUXDKoHXWmu2F0tGMa1V4IelncUrLEhW1D1CvU0je0Arz%2BvCOL4wYsfPqBOr3FaRaZTq%2BDd%2Fe6KnwUXnPg3G3lfJRYPu6WktCqj1793TGBXJcYI4HB0825lAkmmKSPJad7LDLAuFWIqj6ID92OLghjMAGPNYF62COqCm%2FrZ4X2TuCj108rqalRyuyTrRCS7yCCrhCVA6IG8xHFLM7My5fFLSVLXPm00u5bU19g%2FXmKqyub%2BmL3rblfOYrrNJ3e0vAio1Wp8iuH586OYXCSfbJJrbjo6B5b800sQqqPLt5OdBHxnODHd6oFSJcE2wRqlOa8rIUH%2FKxFiQy675z6EoWeTNLNEt%2BADDBEWCipa4%2Fatae2uJQLhU5vF1Wn93uGF2dxdXoKUuged2vVp1J4JxDWdRpa4Fua8x7Z3jMnn6V63Xl5srjXkyWuPFWFjmhOW7mm6K71dHq%2Ff3gx4yBjl2P9q%2FVdRgvdr9VCqCJdAWFbSha3mKz6RNW9W2PGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzZsyYMWPGjBkzVgaDZXN7TCsYM1ZICw1dWVC6QQmPPvtzn72m%2F6DGlfrg%2FDNqWUZc2dpzuOL3PW0xqhwm1PqMVtkZlcJBHsm8P2tcK13GNnkOD%2B%2FvvpO%2BHbsxisPqZ3TdT0lXFzf2Ye9sfDEIq%2BytySDoqfXOxj4kXWUMnTfI2tidv1evSQi8FGU%2F3qbRAUwjleD%2FPh18x%2F%2B98wrtj9KtsQi0Dl3a0gpwsU01Ta0CVY1kSfqyoDYx7f3UoPtlHse8f1m9R%2FDw%2Fu67aO1PoG6H1DPn1a1SOl4QFddrXydZdXVxI%2Bzh53D1IwoQ4kq%2Fh5%2BLqB0y1nilmfHrbD7X%2F09qqq4F2cz1D9hjWZ2y6aaDrJ0hldqhK%2FBzWi%2F87eze1wtEkX3P4TKeoAZBHINZDW2ZlK4AiHASrmMPI8Y8J3i7z1NLeJafYOWmKldbLGV8kY824rdC%2F0gp47aka2qVyNlwmbtEvlUoMnF6eIeoOenV0skqdHFhmS8s6hEKDBIdWlu%2Frwkwzz797NOop9acFxXzf4yBhXhOKWbvxIP7w0Bx1aiHzdH%2BRlXVnb%2BXdxwYKLcXuGE7y4scE%2FAPPtJ8VIYXY3wC1HcHMqDG9xK1ZWlUXSrmIV9clVcFBBkPR3sKjw2n6F2BrF7Q2wWdBd2F38laNczU7bh0fJGPNs5vWUjIzsjr339h6b0Ov6zb%2Fv5PQL897auEuMQLbXleYWvkvxO6uPFF%2FC6%2BqNLFdfSL7nrgrgccXSPZpbmgaFd2%2FCjr7jrULJUd4zYeyfVBk%2BvfiUrnwo3vRmGcFuLeXAsI4oJ3qfhX1%2FSmZXg%2BdqE85%2Bs%2FfP2HttQmaV8WvnGGeusMz%2FCUyV0LZbJSX8Q3CKkRfCYgYxoqj2sV1oA0ZtTxyCxKIKtVl%2FjcGV%2FEaJP4XDEWQaSE7u7oGvmVv%2Fm1pfe6dVy3%2FS2JTFzPnF7n6n4S1FC5aHLDySp0cWEwr4NmVOriOg%2FfTVX5xTsWcdQ%2BtWV0i3W5TdnPWcPWQRE%2BhhiOgOGr%2FikuFCz5oDvJpu9DAtpiHXfbakUHKfjUV7DivsUfzw2FxkbTq0D%2BczSNomUUojZe5LVROW9JfTTIeDz7k9Uu1UI%2FopZC1cLfq%2BsjiJokkRXlSHjsBi54OSyVzGEhrlIIVOhwZxRkNbr%2FiaX3%2BnhCt%2F1lio6P%2FAKyLkw3A0ClKu%2BeChVBc2R1dHQDjwUeU%2BviVlVh4IsHUlV8lo9JCXgYR7YH34MkVK78w%2Bv98a2frJvCG%2BudFSNfnPlJRvdNwoz2X1j1QGb1b%2FfZwlGwSUTN%2Bn9Jsr5JP3z3JY6%2F96Uk23Icf%2BqPFwmlnrkZe5yfifTMRdTbTsS43Bt33pXzsnEYHXHpP9UD7eniRJ3YvX2tfQdvlS9g06OqQ1SxaQmdrPE8Uf1Se1x5WcfpxweK7xRGwZryURVKa2j7yvuc7a9eP1VzOtlFh%2F18HV3c1vxWA%2FIAFSlafEjdanNX9uHnAguRfOlIJ3981O5vkYL78j1kfIPfvGoggyPi%2BVTn%2Fw7aJZ9P4cgJVwj64SGgTiMex3fMMVtpf7xIKL3wU1a9%2Bdzmc6z6hZ%2FaWz3UyYiKgakY4zefs%2BeVMf8HyLO%2Bhf9UXUEgR9Tmj5vssv0zwJWlqkNUGNe7%2BWxSvd2VQ1Y5Uf0cXFYj3Jug8E4H3tOPavzLhzG1L%2B5zjmwAolKVz8kLJV5zMZOujm5V1WrGD6So%2BCy9eH3%2FhWaXtH9X9nxKdUvYGHf%2Bnq1wlO390OdTvbNtLPA8nII3Fg881gaP3%2F8KiIcEyLuv%2FxCdhdVbB8NSPCaUgKJw%2FQf3P7gf7wbJJ9vvLLDQmQWJ745czTsO7O%2FMBhbKNapiSCTkM8cjuBFRkzQDXOy44hn4X4HvpwcZ1z7IL6d5d%2BNPug2nckQNOakf7wSXF1lVRF3q4JgJzonD%2BqSiQHPK5ehd2cG%2FKydVYUx92%2FsMaIOacsxVsRXd3%2BcnN7o6urpzVXxrGylI%2BoBAp%2FThiPFo306%2BcR2eI3%2Fom8%2B1wTiM73mty63gWLLHz8WxI%2Fa2E3f92Qq0MSGV7Z2JxhdSJzfi52bIdePXkxu7sjCK%2Bb6%2F3XAWpCFXiLrDllcrTm3ZcLZco6qgmi2HaW9EJM8Ao%2BPyZ%2FrZoMuFJZ0l77zDkPhtyu1WgF2UzLGcmXLhdyqyylrefb%2F5eZsrE0y7Ck6%2B5G%2FndalqBdp9znh0h%2FSVk6KDKWxTn%2B90dXH1qNp4sfvS6W2gTgd5S8xVqgWgT25EYoNoZn3ra7w%2BzjYa3g%2BddcBmVO8l%2FpD4w8B7h%2FYUpiA88ZCuuAeS%2BtsObWoDvKRGzR9jwm1VvhvDr6vsCKH5Y9%2FyO7B3FYrtOJ6CQGRHuUZVQbX8Jo%2BpgiDJ5xrq0cs9bvBx1TVdaVC8iAj5fad6Duo6uWvivLaR3S28xMqTuwnOmmwqJ1Wbj3rjYXirV4W11A5G1mRaurh6VO2%2BBE5Sk3Mrkogjq%2Fn4HiB3A87AemdpOrewTUIHhMBx%2BL%2BedI36TdAN%2FGwjkKhe1idHmd%2BjjCpe2nTbe42c2NU9p3JF%2FbnqUpO6bp0OUfkkYWRKbMQwMiWfrlTail6KhNTdATzTfmenP9ZP82YqVdde88Y%2F%2FJw6rL1OooqelK4rm2%2B2W%2BBQvlXSc5J851GTu1InXedW8xotTClIDZ1Lv%2BSQng1tWcvVbrVcsb80fVmp61bTRL0LzmjJzfhS8Km66jtnogXVLan7JxCFM2HXoeZNqAxErWijfQcftDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxowZM2bMmDFjxoz9%2F2u4KsiaNO1gTOYkgWLZCarynNZV6uyy6zRcFwRkdJzX1iee%2F64%2BhRBIyIR81S6W3CtZKy%2BHR53neZrO8zLFT0NXdhn%2BH9PyuTN2Gx0sqydraWHlz8rYyAyt9KVXs7%2BJjBQLTzbfr0X0PUh2BQokTLBsuXhJvoED6LqNFxsvhph9BYoOXl3o2vjRBNN4jJlcMxzU6Azmya41r%2BcgsAakBv9R0VQdJkfnOUHUeV6O%2BLav%2Bv9p5JV9T9zzWzXescZ3caU0LHMMSkrX1kkubXlF1F7rEyWIzRaWJ1YI8UJ%2BvWSB16%2BJzg594yoW%2Fmr3rSqHCX6ZyHUDwY9U5a5rhvWhGVxmhkvQrMwqtq5ZXZvA853ZX3YnSRLZ1suo5rrhFOt%2F9umRqTbSWAaaCJdv%2F%2Bcnn2omdQbN7Mmnbv9nGAX66FQFXZ1v7QXyhNqM%2FsY5lA6rqfNcKr53VkjTlr98EMwJxT6M%2FjryNUUQRvgnSgQNv4nLHP3JnWDutsQDqSHr8kGmr5jYw%2BquIMkKxNnnZX7Ax187qszwETXn17HPiqka%2B4zguOmVi21fJv5P97%2FGGatWadrF3es8FX0iq%2BmdjbrwsGhXOdZYsTb20EsYH1DGow1HhS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2Fy8vL6%2Bvqfn5%2Ft7e339%2Ff29vbo6Ojz8%2FP6%2Bvr19fX19fWmpqbLy8v6%2Bvr4%2BPjT09Pr6%2Bv6%2Bvrr6%2Buqqqrz8%2FPt7e2ioqLPz8%2Fa2trW1taioqLr6%2Bvi4uL5%2BflVVVXNzc3%2F%2F%2F%2FW1tbj4%2BPh4eHq6ur8%2FPz%2F%2F%2F%2F29vb7%2B%2Fvz8%2FP09PTMzMz%2F%2F%2F%2F%2F%2F%2F%2F5%2Bfn19fX%2F%2F%2F%2Fy8vL9%2Ff0AAADZ2dn8%2FPz7%2B%2Fv8%2FPzp6em%2Fv7%2F7%2B%2Fvq6urp6en%2B%2Fv7%2F%2F%2F%2F4ck%2FmAAAA8nRSTlMAGgDUzwIP8SMQ759fCgUvqfDGFeIYA78fbxNTt98%2FhsV%2FBhdD4Q1rRI%2Bvwo3ATxJTD18IoKWasozTETbQ4D40IX5hC6dAMR7RXydvEsRuotKLkZCATYahkzOxQlFqmbZwJiUhFWy1wyJYcXI7gB2XIEFbgjxgiWFtfTSFMy8wSYgEqFBDTSE2KCpnSyZZUaZHRFAsDuWBYJJ7AVZQpC0Z6njBKWjdN4dlMV30iN8bV7%2BzJJeHMRiDYsR6U9yVYxdP2c1dj8CKFZZVFjtaaTxOI9cMKQk4NnBW4PKUOmiNI%2FkwWoQYUdQOSk6GvkUURFSM3n71h14AAB4tSURBVHhe7J2HfyPHmaa%2FYicCDTQCQRAkQWgABpMcDSkOw3CGM5o8Gk2QRjlZOVjBsizbcs5pndb22r7d23ybc7zbdDnnnHPO%2Bd6%2F4FjdIGu6vmp280CtbF%2B%2Fkkn%2Fnip%2BaPSDDqA%2BFOm7J3ncIoDi0NAQkY3d2IaJSws2NNZZnCouduhAsrgf7o4BYy59O4fvn3ROJQKoREkBGKqYytAJCCEQWh220I81TPFIozLaNiCMH4PJr47WIooL1C1isUUsFSwpkMqPAMARDUIFjLcYpj5tGbmqw%2BP6bhz49jZwbZ9S9k8Kd20QQLDdzFbdIz%2FJJ0OFyJFaI6mOcZ6HGOzAGxdi0tN8JL063CmJwi9FviX34m4FUrlxl0PgaBgIbrXJJfVp08yTrbq2tt99bINtCj9p%2F2TiZMMigCzYGa0WxwBgrEjxCBUici56obyLjsF%2B%2Fez8KGLwUdxVJuq9HZcpljX16lgjlaeg8hTpmUVNqubcUjzNKnBbGIBbJS6pT8nMo5ilAms3kxsAbElvsP0DqP2Ttt9KsEYIoBELpWxWDyHMocSDdUiCYMYDvJmAl5sUE%2BcDgiaiLMd6FrTJUmskFaTyEah8JPZsiru8WGL8ouLpx2rfqshkVQix%2Bz%2FOoyRIte64GalXsb5%2FJFX7J4UfxsVI3EUcMyrVrbqAtbVVB1x96q39f4Yo0goYpBJ6EmhWa31nx3WrUmskFaTyJah8iVSofNrqY2umHOeNsyIQ457ksUTnlP0dq4NfVyuLrpTKLlHy0sUp1UASq%2F2Txr2ASAiiwJvNYrVzBLjUbJ4BjlS0qbdE%2F%2FStUgAExAMyWG2jI2EFDd3qujNsWcPOesxquY6d1OOSmiMbId4YCTT%2BBEq0xDjRKACM8mO1HwF2mYm%2BDnRdrRRht5hUmRPHAeD4CdL3jwBEBQ3OheC84VE%2FXi2L1Q9fB14kOgFc%2F%2BzeVgmgJKuVTnzsPSh2iFoncY82uVrw14aH1%2FxCNVbszO4heYa0vDPk30uc%2F%2BOxv2LgBAAGdjSM8R548OvqoxHiUl0bYWyX7R8h1P5J22%2BHUIlAxXSl5FYDeZS67hHgTO%2F%2F2aoPbWy12r9JqFVifFsqsLYGbGtlJyq%2BV2TuBRrA3WTgs%2FAY70S30519XFebg19X3520%2BbakctBO2j%2BZ%2BNt23qsdwduyWCWnjjB1h%2FZvdWkqhPxKVhi3gMamh2Ilhn304xeIaTVJpVlsTp9FLRt3F9DPgvtmX1czbf4FSeXghcT9k4WXLYxtg8oYrLJRKZNTC7XWa7R%2Fq1RDCDfq7RltpDwixPTcjIdii1R87MYnptUktdKYn6Pz89ZSJj6l6k8NcA%2Bc9bqavvmF6jbdHqwW0vYP5%2Fq9dLGo7qVTrY5OXKnXr0yM7m3V%2BFzIAs4S0crEckCmBDOedY1UCmI3%2BtN0LjUucan0yDOycjD8PZk4VJDCB3%2B%2FqmmtSqlc68g2dUYKlLJ%2FUrgzMl73Gu3xESfFqorzwO0OsXiI4kmrCe%2FSRoQ4T3slOK2ea0qa001Tgci0E2TiQkVk5tHooO9XnYJDWcP3TzovT4xOL5dJixDqXz29gHhGRZTRIRogzT2l5mk6b8F%2BG5KhtyB5%2Fj%2B2mie3mie3mlvNk1vNk1vNk1vNk1vNrZbouy65VR8%2BsST3UJbGpopjJYZdoNsFXGOptDrpfAn9LGWvU5xaLJFvmr9Ycu3kzstYuiHrUuaUFsfGFg%2FyQOFa%2BHaCIAeHMNTnPgA%2FwSrnrg3UPPD%2B1R8AHnwQ%2BIEUq7xONv4w%2Brk7ex2vBhRhng9ks%2BoyGAXU6XYrROTzXnTg4PrRW3EAIQQI8tueVn3I%2BGarnNuoz4%2BOztdZ%2F%2Bpl4KWXgMspVnmdbHwWIgxm91XHA7JxiJ1A64jHvJg0WS0CmBqzWf3NLSG2NmGTnopCOm8l8RZKpNsDSbG0l1UfUXyjVcZLqE8EoGCirj1cC%2F20Eq3yOgjrML6wwHgLFoWxUGHzicx1iB4CQJy7Iee7S4biAw4QUM9k1XhodzE%2B1yRqzo2zk3YXkPZaZODoEJl48avVU5pVQQjFJltVUgHfZJX9N%2FDDuJ3Cerdr%2FasvA5icBPByolVeB6yO5B2go%2FOXdzpJLuAVVseuGOv0%2F2M%2Bce6EnO0uIRO3elPbciars9UyhSlXZ%2FkJvoVSCS3OaeNRCTi%2F59j7UGFc0J7XVSWVad2hpv5VEO9fPQXgwx8GcMr4CRybTHWg6ijungJOuRo%2Fhp%2BgMD%2BBw4Y6Xb3OrOSG1BTPdKxCJZNVfJn6%2BbKhTnMcGG9yTv%2B5Zrb6CQT4LLtQEAkBIRKtFgR2IgpZrDa8aEzvX60AQBAAQIVi6bdzEa9jA7aso3FnGph2NA58ncJ8HTBsz5%2FQ69QkD1OM9TmNju7yYsqxmtFqI46fo36eg8HSzwM%2Fb7L3fR6RkYPwfTdzQVBtOklWuT1ulfevCiH0%2FtV7sZt7zd1ovM5F4KKqozgBpHMA6BB1AIDNb0yuGOvIVPAk8YT1BztW3fq5rXMb9fZjcexEEwEHpjPw%2BLjxDPwH2xHgvIIPMy5EBqtCiBSr6f2rswAaQjQAzCbsFVYn2NwMVB3FCWD1AeC9RO8FADb%2FmZ6az7fzcf15%2BWr7BzhWnYnV5irr1gPtWCX9swSbQHOrXN5qck61ByTgfPY9DzUC%2Fs6GICfsbVXCFKtp%2FatL%2FY9pHQKAJUOZyUnwOnNzYR3GhWAcKmDzHbU9GfpsvfcpPsh11ZhNZXVTG5qbt6hJ8l%2FOT%2FeITPyjX6l9kG8mqe0cwGp6%2F%2BrdAHCd6Lr%2BewKopNbh3Gx1kDoET%2FHBrqvGzCmrc6QlGFFA480k3jxdZpsJEoCgeE8lhfdQQ2JocjKj1fT%2B1RoAvJ%2Fo%2FQBQS7fK63CeZjW9TsOrM14dHW%2Br%2Ban6vF3qZbJKyurBpGnQQpicNDY0E4aAXnQC73%2BNh3XZsv5V1ow6RzQnv4%2FyMjJZ6nDO64jMdaZHJxgvUHnZND%2Bh%2FuguHdXmU0KEUF8PPpES0esZG5pJDAkxdDPOk%2FdC5Mmt5smt5smt5smt5lbz5Fbz5Fbz5Fbz5FZzq%2BYGw13usyHXNjcHKKrHZwuvpKWLinmDsECGlAwdND5R2vIg39VWq0atfV5Y14fs2ryIktVqjbUepmUW9zI2CUyes9AlnvJZtEfiaAEL%2B7OabBqJQ619rSnT4jwKiCHaRaD08MdFvVDnWhVXWpm9jFYrEf5AwoYQz1INNQZ7QG91GJfJkH%2BGBzSyghWyJoUAhJi0SIXRAaw292W1eSBWE4uI3YAIGAOYVsWl1sGsvhLhY3FahN6SqXLs0xZKxud5QurmeQee0xGIRnrRD%2FVGFE6iJKIQj0gdYsjI1RCzKhErnWrVj3Hy0Y3OwCDaqx2Ya92%2FVeBYhK8DbLplAbcC7MT2vh%2FEMZPVyhraZAjgMGRe9S2RQiWJg519D%2BoMnPi4e1n1oReZJXLHKtJqNUFrNaZ1EKuzIswstzp%2B6dK44Vm%2B3Ah%2BCmiZ9%2FsDxFNBnX6%2FrTYVHuwMvJBmdcFs1YdmtYp7yLVRdEFUSNBaiGsdwKqKxq0vAF%2BwuNVTn%2B68buH7uQqxdRYnXWL5XXxtYKtChfHEgcHPwKEeSixPJO3BZHVdt1oQc64NwEZM3zqpxPn6%2Bpth9fiLwIvHmdUOwswaVDTPb%2BB%2BYnkYP3dwx2rmu6XWQZyBhdgogHj5XYTChhCm%2BoWqZtXttn4EYW7Wpy%2Beqbi%2FXshk1dqy9mMVH9ja%2BgCY1YcsIcQW0DGp%2BGkcJpYbeGlfVktAaXCrzYM5A6%2FQ3lZpJWE7C9UYr0wBP4kwSh%2BTKrmSmsWqNdwctrhV0Q%2B3ipMnway6eF7usjYe4lZbpRpeIBbge%2FZlVZnI0nyXOjD4PTCHu8hk26tvh6gQ5ypKH5MacSWVW63G9VnDTriYLnNRhEyLdWSaWzLX8AU5%2Fkn98zpXwW6X1Mj%2F0NkCFhKOym0emVgYbKXag74HNtchGGyPTmyH2VbZ1adLVbykpGpW41xKJalV34qd30KwjkxjS2YX4WLXFfY%2BFmEakz3SYpt%2BH7lSXWFHJVud%2BvfXanNAqzxpj1vQpSpeLmQ7VUmpUivrTw9EmDJlyty25SD6oVHD404zqTQiMaOF3R%2FS%2BIboZ6Mw4PrDB3UGFpRchxTkSX3cwePQd0ZW2P8ZNHkvRJ7cap7cap7cam41T241T241T241T241t%2Bq2aOAs0rdVcquuXawYFrpdTF6%2Fl6eDJUqOu0SDxvdpH8mtus8eR9HUnQ3ftK4vANslPSdxisOlKcjZ8uc6jI9Ryzy%2FWKEuq%2BUn9KOHW5VA%2BVASn%2BrQAcR2wy%2FJvAWwoYjyuD4vFDnwTdi33ZhV1z55ybJYx0B9sw2UDOvrRqK0dAHcZ16C2xp2T1ywntO4d3aCcJXPH696M4EPm0s1aQWkISRQPpTEgcUWGQKAkLknBtIRlFbGm6yUokyeHDJyGLT6QKRVTcPJS8P6Wq%2F1ibnlNg4b1tcFwHR3jOunn8KmEGLkhG3fMeJofPR8yQcWXX1%2BuTAa%2BMAFTWpBAKLAtALSEBIoH0riAIrdwa1KEVA2OAfMQyZ5csjM14llHX2tahqOX2PLSr0%2F6kkwrK9r6ts%2BFcKaq1eZix7h%2BAnG%2B4uZr%2Bl8oUK%2B3p3hLiJURVhkjyANgQzUOJTEIWN3BrUqRSgbBs5KKcrlySHOE1tXIq1qGl8V1MPh0KJlWF%2FX0AVYQjuk9xuvb7CGTzB%2BP6w6UL1D4wsoLrLttrEbW7cRjpGR8iFXcaMl3x3UKmxlw8BZKUWZPF6IS%2BVauVSVNjDWHQMu8PWBI6u1%2BEFc%2FaTBNQE7Um3Gf3RrZMIbLzgaf6cHKTV%2Bgr%2BgrF4w2iAj5UNrGmeWpga2GmXNzHkpjbKXsc22v5HUutIAsDbEpao8gCg%2FxtcHJsn19XV%2F7kGE4VafkvVtMF5oEp0ul3QezHhSKvTXYfSpJ%2FY6BSylSKd86A7FjZaqzwxsNXqEOxI4K2WmI2InI3z7fTLGDx93KHxLY5ZKvQ3IbDYN6wMDgLa%2Brnf5i16C1Y%2BMb9cHGJdp%2BpwHMxsFAkjTGg3qUgkYlo7MlA85ihssWZMFZ1Cr1rA6TgycWzVTFcP2%2B4lSh50hoqfkWxopleddFoD6nGl9YAD6%2BrptrB2SuE6xNNClubLjdtFgfDtmHqworrRG72x0qQSEokzUOJTEw7daI71B75akTyXVwFkpTrlVrjVZ6hDRZZy8ZJZKzkUPjTNkWh%2FYsJL%2BxzzIeLfH8Z3YyZ0D8eS2ZSAUlUD5UBIH2qfPD%2F7ORvpUUg2clTJTocK33%2FzOpi91iFqwfvCaQ%2BYEM43H1FjKerzN01UPqJ4O4nj1XAMyjXOrA%2FHktmUgFJVE%2BZBELueNyeVmQk8mZW7dJ2nI5VIljwaZP0Z5uFZzU34kdYiubY2cdygpwbRylLoeb7MwKkSB7ZjVaSEzvToYT25bFkK1IXPKh0LkcD7dowNIVNkx8ugLO%2FY4TddqbsqPpA6R06TvvORxEnDeCzFo8l6IPLnVPLnVPLnV3Gqe3Gqe3Gqe3Gqe3Gpu1dzf%2B5Zx1ShxcPUHT2uqktR9uN%2F4ST9UWThIq65taI95S7gaAsyddTWPzc%2FCB85JnHT3ZdVuUULel2C1UsTCYK8at0XAUMsNrdqm9pi9uQd4%2B5kPq569Prk%2BgOISkaEPeXS%2BDns%2FfJzXJ2oplMnGAoC1fVlV28%2FkGVX529x750BW5YcvgEox7EYrAYAQrL835ICJW09Xq09b5vkNGPi5kYl5jbPHVVmrjQMfqpWI9SE%2FQvTIRB0lnQdEgZlXarw%2BLRVBaTZ4o3opu9XOVQALCVK9%2BaqxkjcTDGT12RqKQBG1Z4eIDgMAEevvlVyGc2%2FYKRScYc8033pmHIxbq1crgZWxPrm4qwyc%2F1CN9D7kCnwfldtxTOPRRxc4j3biuOLqyKOEmGy0apCptTJa7RYRxnTc3yvlFYxWpdRBrDZnPIQvjuYQUQ0QgkgIredTchnOo5PRGufWZH3Y%2BVmPceDUZ12Ac1ld5zt%2FBF1G60MOqkA1CLxZjdPVlo01zkOpM%2BU4b9kpa5oxGyf7%2FGQ2qz5UCyrLyoaSp1V6KKVtKfvirkNEDWCH1khlL74u8Trnl3oTTqXIOXBnbw0mTgSdQ6bXg4zeh7wePrZX0%2FjVsF%2BS8UhqoPEppFhlNkaEAKA3cJJtvi3oYCfWY4a73BUu1Q%2Bri8JBWj0UjbP%2BXsllOPfCRtc7PJ3L%2B8RKMXsd8%2BOKKzgngMmqJ4TWh1xBtSq%2FHtL4j1uyC4vxUiRV449ZKVa5DfNBecmDjHcpjh9FYyM81VSHg5S7XHZXPJBVMe9J2JgXQ0Rvi8ZZf2%2FIARO3Xd93bc5hd4rmOkIYuSASOienWisBf7J2F%2Bl9yMF8oTAfHNHrHHGGq8MOMY5Qqs6D4SqApHUDlY1Uq803IPNGM46xOb3S60F9JIHd5Wa7K%2B5vjcj8B%2Bdbxei9SbE1FPb3yrD%2B3r14ESgmzR%2BUE93xaQC1u8q8D1neA4%2FxOmO%2FUHAqBo67AmKcnMK4B0qIspFqlVY3AGysanRzTgJrppx2l8vvige7W7pmeTPAjGddG%2Br394L19751nJzCFeDpsrEPucjmZ%2BdK%2BIxFhjAbKVZpxYK1osO56MGDlLtcdlc8sFVn%2BHQABKdl735Cf%2B9bwtUQwOBB1g%2BGiYfZSLVKFxuXyBwn5S6X3RUPbpWcJgkx1JS9%2Bwn9vW8lZ82xB1%2BfiU4ZEOYNCqablDXqLlfXGuz1M3kvRJ7vZKt5cqu51Ty51Ty51Ty51Ty51Ty51dxqntyqe5W%2BrZP3A3dhd4g6NrpkSqc7BibV%2FgjtM4twDXRsjIyxYXMI9dUcn7Lk1VdfVd%2FexFSAA18nOXs%2F8GGrhoUF1KzDxOyVbAAvMKv34RNkSGdxbGyxY%2Bb%2F%2Bs84xFKCefnoFoCUngEebT3LoppfjM265ZZb1Lc3Ma94IgbcItsUxlPWSWZWk%2Fty8fyMBXgzzzN5lSkAaH%2BNDdTwx2jM1aC7iDCLrpE%2F0XLZ86kBNZd4mvuwiv5f%2FAwt2sb5yGrV9d3kA8b3GfUN9Yus0YdvTzrn6ySbrZYAWEJYAEqs6tGjkDG8iBrjj8Mj1oh1N71g8xZ6dTLg%2FHvvk1w75Ot13JexOUCoMNvFViQVFzJYnZubU9%2F44svmAyb6ptNCFWHM%2FVvvT9p%2BkdFqtE4y36DIqi%2BtHo6a%2FGp6X64AgNtuAwBBsawB3tnpf6e%2F6Ih%2BE8DCC9p1%2BAjaaABAFUdM%2FE%2F9Zcm1C8%2FHPw5UiMUF4GY8VoWY96zXZfuIQLWQwSoA9S198WX3BqRAH8AN7TBadAv8L36%2Fhp28lO1YbTDbKuaO1cgq%2FKFIJ1yXrwGrrLLzrHX661PsRbfUbQKsTBfWu%2FHRNoAfs9Dl%2FI87KxZ7HWwCm8o1270Zr6vB6T8ddRkqqZmtmhdf5qsJTmktOoVJQCw7hl3%2F09jJV7JZ%2FWAJKsUUq%2FrfgG4AwFNP8fV%2Bj27nttvkV%2F1Qsi4egcwXY%2FzyjxKssFqLVB7Edae%2B9gBQb17Hgzfz49v8d%2FAXiUKuUkLjV4FfbaBkasYDipUYhdj9h7T8QhHe2%2F820TrtzyqX2kjSyhYX7QHmXf%2Bz6KfRzGS1UT4FlXtSra6ryevJ%2Fbp0224ols96zxchU9c3bwrX7wSA10llro7umXcA9TNd1Odi3Jf8E%2BTHOLk1fMZpt53PoObqUtsA2kpryrFakVJPFivqHjijVSa1Ol2VWolpZVKJkqwGHqI8SZmsfrADFXzRZJWvnyyDaoH166afgXuHEMY7wzfvhVUA6N2Mz1i4f0KIiadgndH4kY9b6HU1fh%2FaPXr8ceq1tcWwi965ZQDL57xilmM1%2BszJb9b023sPO9Hu9uqA36n4QDum7gLkbipUgQvEtTKpBCTcqI6KMN4ns1ktPwqVapNb5Vqj62q1wPqB0626dv%2Fm52mHLeiOBypyRHvqbUwtLEyhPezEeRXAn22hGuMdeB%2BLtvpjHjqx%2BqdXZfXK6ul20rHK%2B2%2FDjxTFhIwKwLoiZEbJ2Nb%2BOFvnVH3TtUYbzy35ScveVvCJbFZbUMGXs7yzKURWC0OsHzjdqn18a1rMzwvWDP2xBsZ7D7GVyclZnnzyHe94cnLZ0Xhh8vfwR1%2FU1s4%2BiSj880rLTYrelzeXsxyr0lpAFIyyNd1hXuS6XEeYepmvc6q%2B6c%2BBVYLSKqVyTc9ls3ofVKxeyjrJrBeC9c2mWD0%2B3CQKAmJpPrNVJlisDlFveWJiuUfE%2BGv4B804ryCWCsXSmBfzjf3%2Fbiku1Y2k8pzZ8ABv4wwNFBGlwF4HTYFtDuFks1qDyvNp6yRzq6pvlm%2Fe6ip7uzTs7NFlTGKkTNmzIgKNBCIWbXg6oGA6bclrngJbG9gYZ2VUiNEVh96sCCmdwYQnMCpUmJtC4YB7IRz67kneC5Ent5ont5ont5ont5pbzZNbzZNbzZNbzZNbXZhaiIPcagtRii5ljQsYJy%2B4rnn3dlGkNzH4KFomHIbz0liR9T8fKF%2BcmlqUnMcdA7qUKXt0xNqAbZgeWu3%2FwFfRz4%2BQKa2rLUOTAYoV0%2FK0tg1qceFu7SzMi58i4Ul2i6a9VUzYIWiimdnqm7%2Fu8amv3XPna5LzHEFjck6C9P7kvZrRhICBhVZFNPYw%2BnmYWNzSGH7lGjR6yrhW47OwJbfxLOm53%2FspZhX4w8AFcXTDcJh1pn7jDRAL3viNqY7RK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<div id="reproducible-research-peer-assessment-1" class="section level1">
<h1>Reproducible Research: Peer Assessment 1</h1>
<p>First, I load necessary libraries with messages supressed. Doing this once so future messages aren’t silently supressed</p>
<pre class="r"><code>library(dplyr)
library(ggplot2)</code></pre>
<div id="loading-and-preprocessing-the-data" class="section level2">
<h2>Loading and preprocessing the data</h2>
<p>First I load the data and transform the date column into a more usable format</p>
<pre class="r"><code>activity <- read.csv("activity.csv", header=TRUE)
#Convert the dates
Date <- strptime(activity$date, "%Y-%m-%d")
#Create a logical vectors of everything other than the original date
#then bind those columns with the new Date back to our data frame
lv <- names(activity) != "date"
activity <- cbind(activity[,lv], Date)
#Does everything look ok?
summary(activity)</code></pre>
<pre><code>## steps interval Date
## Min. : 0.0 Min. : 0 Min. :2012-10-01 00:00:00
## 1st Qu.: 0.0 1st Qu.: 589 1st Qu.:2012-10-16 00:00:00
## Median : 0.0 Median :1178 Median :2012-10-31 00:00:00
## Mean : 37.4 Mean :1178 Mean :2012-10-31 00:25:34
## 3rd Qu.: 12.0 3rd Qu.:1766 3rd Qu.:2012-11-15 00:00:00
## Max. :806.0 Max. :2355 Max. :2012-11-30 00:00:00
## NA's :2304</code></pre>
</div>
<div id="what-is-mean-total-number-of-steps-taken-per-day" class="section level2">
<h2>What is mean total number of steps taken per day?</h2>
<pre class="r"><code>totalByDay = activity %>%
group_by(Date) %>%
summarise(sum=sum(steps))
hist(totalByDay$sum, breaks=10, main = "Histogram of total daily steps",
xlab = NULL)</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-3" /></p>
<p>Calculate mean and median of the daily totals, ignoring days that totalled to NA values. Based on the histogram I am expecting values between 10,000 and 11,000</p>
<pre class="r"><code>mean(totalByDay$sum, na.rm=TRUE)</code></pre>
<pre><code>## [1] 10766</code></pre>
<pre class="r"><code>median(totalByDay$sum, na.rm=TRUE)</code></pre>
<pre><code>## [1] 10765</code></pre>
</div>
<div id="what-is-the-average-daily-activity-pattern" class="section level2">
<h2>What is the average daily activity pattern?</h2>
<pre class="r"><code>averageByInterval <- activity %>%
group_by(interval) %>%
summarise(avg=mean(steps, na.rm = TRUE))
plot(averageByInterval, type="l", ylab ="Average number of steps")</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-5" /></p>
<p>Which interval has the maximum average number of steps?</p>
<pre class="r"><code>averageByInterval <- activity %>%
group_by(interval) %>%
summarise(avg=mean(steps, na.rm = TRUE))
averageByInterval[averageByInterval$avg==max(averageByInterval$avg),]</code></pre>
<pre><code>## Source: local data frame [1 x 2]
##
## interval avg
## 104 835 206.2</code></pre>
</div>
<div id="imputing-missing-values" class="section level2">
<h2>Imputing missing values</h2>
<p>How many missing values are we dealing with? Is it a large proportion?</p>
<pre class="r"><code>sum(is.na(activity$steps))</code></pre>
<pre><code>## [1] 2304</code></pre>
<pre class="r"><code>sum(is.na(activity$steps)) / nrow(activity)</code></pre>
<pre><code>## [1] 0.1311</code></pre>
<p>I will replace the missing values with the average number of steps taken during that interval for which we have values</p>
<pre class="r"><code># Get just the rows with missing steps
missing <- activity[is.na(activity$steps),]
# Add a column for imputed values. This combination of mutate()
# and sapply() is a little messy -- there is probably a nicer way
missing <- mutate(missing,
steps=sapply(interval,
function(y) averageByInterval[averageByInterval$interval == y,]$avg))
# Create a new data frame with 1) original rows with non-null steps 2) newly created data points
newActivity = rbind(activity[!is.na(activity$steps),],
missing)</code></pre>
<p>Lets check that we have the same number of rows we started with and that there are no null values in steps any more</p>
<pre class="r"><code>nrow(activity) == nrow(newActivity)</code></pre>
<pre><code>## [1] TRUE</code></pre>
<pre class="r"><code>sum(is.na(newActivity$steps))</code></pre>
<pre><code>## [1] 0</code></pre>
<p>Now I recreate our original histogram and recacluate the mean and median with our new data set.</p>
<pre class="r"><code>newTotalByDay = newActivity %>%
group_by(Date) %>%
summarise(sum=sum(steps))
hist(newTotalByDay$sum, breaks=10,
main = "Histogram of total daily steps",
xlab = NULL)</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-10" /></p>
<pre class="r"><code>mean(newTotalByDay$sum)</code></pre>
<pre><code>## [1] 10766</code></pre>
<pre class="r"><code>median(newTotalByDay$sum)</code></pre>
<pre><code>## [1] 10766</code></pre>
<p>Imputing missing values has <strong>virtually no impact</strong> on my estimates of total number of steps taken each day.</p>
<pre class="r"><code>format(mean(newTotalByDay$sum) / mean(totalByDay$sum, na.rm = TRUE), nsmall=5)</code></pre>
<pre><code>## [1] "1.00000"</code></pre>
<pre class="r"><code>format(median(newTotalByDay$sum) / median(totalByDay$sum, na.rm = TRUE),nsmall=5)</code></pre>
<pre><code>## [1] "1.00011"</code></pre>
</div>
<div id="are-there-differences-in-activity-patterns-between-weekdays-and-weekends" class="section level2">
<h2>Are there differences in activity patterns between weekdays and weekends?</h2>
<p>First I add a new factor variable indicating weekday or weekend</p>
<pre class="r"><code>newActivity <- newActivity %>%
mutate(dayType = "weekday")
newActivity[weekdays(newActivity$Date) %in% c("Saturday", "Sunday"),"dayType"] <- "weekend"
newActivity$dayType <- as.factor(newActivity$dayType)
newAverageByInterval <- newActivity %>%
group_by(interval, dayType) %>%
summarise(avg=mean(steps))</code></pre>
<p>Is the average by interval different for weekdays and weekend? In general yes:</p>
<ul>
<li>Weekday has a higher peak in the morning<br /></li>
<li>Weekends are a little more dispersed during the day</li>
</ul>
<pre class="r"><code>ggplot(newAverageByInterval) +
geom_line(aes(x=interval,y=avg)) +
facet_wrap(~dayType)</code></pre>
<p><img 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